A Real Vector Space is a Vector Space whose vectors are described by real numbers. We can describe our classical three-dimensional space as simply a Vector Space with three degrees of freedom – or dimensions. Such a space would be labeled: This…
read moreA scalar is a quantity that has magnitude but no direction. It is a single-dimensional quantity.
read moreA Vector Space is a set of vectors that may be added together and scaled. When we say they may be scaled, we mean that they may be multiplied by numbers called scalars. For example, we may multiply all of the vectors…
read moreLinear algebra, or Modern Algebra, is algebra with vector values – i.e. more than one parameter – in place of scalar values like numbers, which have a single scalar parameter. Linear means we can add and scale vectors.
read moreEinstein Summation Notation is a notational convention that implies summation over a set of indexed terms in a formula. It is simply meant as a shortcut in the writing of formulas. It is primarily used in the application of linear algebra to…
read moreA matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. When you play a game of Tic-Tac-Toe, you are…
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